On the equivalence between Berlekamp's and Euclid's algorithms

  • Authors:
  • Jean Louis Dornstetter

  • Affiliations:
  • Laboratoire Central de Telecommunications, Cedex, France

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 1987

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Abstract

It is shown that Berlekamp's iterative algorithm can be derived from a normalized version of Euclid's extended algorithm. Simple proofs of the results given recently by Cheng are also presented.